0 votes 0 votes A random variable $X$ has the density function $f(x)= \begin{Bmatrix} c(x+\sqrt{x}) & x\epsilon [0,1]\\ 0& otherwise \end{Bmatrix}.$ (a) Determine c. Probability gravner probability engineering-mathematics random-variable + – Pooja Khatri asked Sep 26, 2018 Pooja Khatri 322 views answer comment Share Follow See 1 comment See all 1 1 comment reply Balaji Jegan commented Sep 26, 2018 reply Follow Share 6/7 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes $P(0 \leq x \leq 1) =$ $\large \int_{0}^{1} c(x \ + \sqrt x)$ $1 =$ $\large c \left [ \frac{x^2}{2} + \frac{2 x^{3/2}}{3} \right ]_{0}^{1}$ $1 =$$\Large c\left [ \frac{1}{2} + \frac{2 }{3} \right ]$ $c =$$\large \frac{6}{7}$ Mk Utkarsh answered Oct 4, 2018 Mk Utkarsh comment Share Follow See all 0 reply Please log in or register to add a comment.